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Isoperimetric inequalities for the energy of uniform-vorticity flows in channels of uniform width. (English) Zbl 0951.76078
The main results of this paper are isoperimetric inequalities concerning the dependence of the kinetic energy of the constant-vorticity flows in a uniform channel on its width and on the length of its middle axis.
76M30 Variational methods applied to problems in fluid mechanics
76D17 Viscous vortex flows
76B47 Vortex flows for incompressible inviscid fluids
Full Text: DOI
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